Leray-alpha model and transition to turbulence in rough-wall boundary layers
Fluid Dynamics
2007-07-03 v2
Abstract
In the present study, we use a fifth-order ordinary differential equation, a generalization of the Blasius equation derived from the Leray-alpha model, to examine the transition to turbulence in rough-wall boundary-layer flows. This equation, combined with a weaker formulation of the von Karman log law modified to include the effects of surface roughness, provides a family of turbulent velocity profiles with two free parameters: the momentum thickness based Reynolds number and the roughness function. As a result, a skin-friction correlation is obtained and predictions of the transitional Reynolds numbers and maximal skin-friction values are made based on the roughness function.
Keywords
Cite
@article{arxiv.physics/0611001,
title = {Leray-alpha model and transition to turbulence in rough-wall boundary layers},
author = {Alexey Cheskidov and Diana Ma},
journal= {arXiv preprint arXiv:physics/0611001},
year = {2007}
}
Comments
4 figures, revised